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Finding the Third Proportional to 9,638,136 and 20,075,328

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Solution

The third proportional to 9,638,136 and 20,075,328 is: 41,815,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,136 : 20,075,328 = 20,075,328 : x
  2. Step 2: Convert to fraction form
    9,638,136/20,075,328 = 20,075,328/x
  3. Step 3: Cross multiply
    9,638,136x = 20,075,328 × 20,075,328
  4. Step 4: Simplify right side
    9,638,136x = 403,018,794,307,584
  5. Step 5: Solve for x
    x = 403,018,794,307,584/9,638,136
  6. Step 6: Final answer
    x = 41,815,014.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.